Cube of a natural number will never end with the digit
Answers
Answer: There'd no such digit which can't end in a cube of a natural number. Hence a cube of a natural number can end with any digit.
Step-by-step explanation:
Since a natural number can end with any of these digits from 0 to 9 be it a decimal value or an integer value. Now for any particular number, in order to decide which digit will it end with can be found out, using the last digit of that digit's cube.
For example a no ending with 3 will have cube ending with 7 as 3³ is 27.
Similarly for no ending with the following no will have cubes ending with numbers as follows.
1³= 1 (ends with 1)
2³= 8 (ends with 8)
3³= 27 (ends with 7)
4³= 64 (ends with 4)
5³= 125 (ends with 5)
6³= 216 (ends with 6)
7³= 343 (ends with 3)
8³= 512 (ends with 2)
9³= 729 (ends with 9)
0³= 0 (ends with 0)
Hence the last digits are 0,1,8,7,4,5,6,3,2,9
Therefore we see every digits are last digits of these cubes. Hence a cube of a natural number can end with any digit.
Answer
Answer: There'd no such digit which can't end in a cube of a natural number. Hence a cube of a natural number can end with any digit.
Step-by-step explanation:
Since a natural number can end with any of these digits from 0 to 9 be it a decimal value or an integer value. Now for any particular number, in order to decide which digit will it end with can be found out, using the last digit of that digit's cube.
For example a no ending with 3 will have cube ending with 7 as 3³ is 27.
Similarly for no ending with the following no will have cubes ending with numbers as follows.
1³= 1 (ends with 1)
2³= 8 (ends with 8)
3³= 27 (ends with 7)
4³= 64 (ends with 4)
5³= 125 (ends with 5)
6³= 216 (ends with 6)
7³= 343 (ends with 3)
8³= 512 (ends with 2)
9³= 729 (ends with 9)
0³= 0 (ends with 0)
Hence the last digits are 0,1,8,7,4,5,6,3,2,9
Therefore we see every digits are last digits of these cubes. Hence a cube of a natural number can end with any digit.